# exponential decay and interest compounded continuously

Attached are the questions

1. Complete table for savings in which interest is compounded continously.

2. Complete table for radioactive isotope

3. The population of P of a city is given by P= 105300 e^0.015t, where t represents the year with t=0 corresponding to 2000. Sketch the graph of this equation. According to this model, in which year will city have population of 150,000?

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#### Solution Preview

Please see the details in the attached file.

1. Complete table for savings in which interest is compounded continously.

Initial investment Annual rate Time to double total

$1000 ? ? $2281.88

If a bank compounds continuously, then the formula takes a simpler, that is

Where P is the ...

#### Solution Summary

The solution includes several applications of exponential function: exponential decay, interest compounding, and population growth.